# Irregular pentachoron

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Irregular pentachoron | |
---|---|

Rank | 4 |

Notation | |

Bowers style acronym | Irpen |

Coxeter diagram | ooooo&#x |

Elements | |

Cells | 1+1+1+1+1 irregular tetrahedra |

Faces | 1+1+1+1+1+1+1+1+1+1 scalene triangles |

Edges | 1+1+1+1+1+1+1+1+1+1 |

Vertices | 1+1+1+1+1 |

Vertex figure | 1+1+1+1+1 irregular tetrahedra |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Irregular pentachoron |

Conjugate | None |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I×I×I×I, order 1 |

Convex | Yes |

Nature | Tame |

An **irregular pentachoron** is a pentachoron with no symmetries. Generally, though not necessarily, it has five different irregular tetrahedra for faces.